Discontinuous wave equations and a topological degree for some classes of multi-valued mappings
نویسندگان
چکیده
منابع مشابه
Topological Degree of Some Mappings
1. In previous papers [2; 3], the problem of proving an existence theorem for a certain functional equation was reduced to that of computing the topological degree of a mapping in Euclidean w-space defined by homogeneous polynomials or infinite series. The complex case of the latter problem was solved in [4]. Since the problem is analogous to that of studying the roots of a polynomial equation,...
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is sometimes proved by determining the topological degree of M at q. If the degree is different from zero, the equation has a solution. However if the degree is zero, then purely topological considerations give practically no information about solutions. The advantage of the topological degree approach is that comparatively little information about the mapping is needed. In this note we study l...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1999
ISSN: 0862-7940,1572-9109
DOI: 10.1023/a:1022216119044